Utility functions are regarded as elements of a linear space that is paired with a dual representation of choices to demonstrate the similarity between preference revelation and the duality of prices and quantities in revealed preference. With respect to preference revelation, quasilinear versus...

The play of a game is a public good because it is "consumed" by each of the players. We model the play as supplied by an organizer managing a team--the demanders of the public good whose actions are unobservable. Competition among organizers leads to a price-quantity description of efficient...